Nonmonotonic Conditionals that Behave Like Conditional Probabilities Above a Threshold

Journal of Applied Logic 5 (4):625-637 (2007)
I’ll describe a range of systems for nonmonotonic conditionals that behave like conditional probabilities above a threshold. The rules that govern each system are probabilistically sound in that each rule holds when the conditionals are interpreted as conditional probabilities above a threshold level specific to that system. The well-known preferential and rational consequence relations turn out to be special cases in which the threshold level is 1. I’ll describe systems that employ weaker rules appropriate to thresholds lower than 1, and compare them to these two standard systems.
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DOI 10.1016/j.jal.2006.03.013
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References found in this work BETA
The Paradox of the Preface.David C. Makinson - 1965 - Analysis 25 (6):205-207.
Conditional Probability and Defeasible Inference.Rohit Parikh - 2005 - Journal of Philosophical Logic 34 (1):97 - 119.
``The Paradox of the Preface".D. C. Makinson - 1965 - Analysis 25 (6):205-207.

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Citations of this work BETA
A Probabilistic Semantics for Counterfactuals. Part B.Hannes Leitgeb - 2012 - Review of Symbolic Logic 5 (1):85-121.
Conditionals and Consequences.Gregory Wheeler, Henry E. Kyburg & Choh Man Teng - 2007 - Journal of Applied Logic 5 (4):638-650.
O is Not Enough.J. B. Paris & R. Simmonds - 2009 - Review of Symbolic Logic 2 (2):298-309.
Size and Logic.Dov M. Gabbay & Karl Schlechta - 2009 - Review of Symbolic Logic 2 (2):396-413.

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